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Finding the Fourth Proportional to 134,830.40, 186,102.96 and 78,260

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Solution

The fourth proportional to 134,830.40, 186,102.96 and 78,260 is: 108,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,830.40 : 186,102.96 = 78,260 : x
  2. Step 2: Convert to fraction form
    134,830.40/186,102.96 = 78,260/x
  3. Step 3: Cross multiply
    134,830.40x = 186,102.96 × 78,260
  4. Step 4: Simplify right side
    134,830.40x = 14,564,417,649.60
  5. Step 5: Solve for x
    x = 14,564,417,649.60/134,830.40
  6. Step 6: Final answer
    x = 108,020.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.